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Finding the Third Proportional to 407,901 and 874,850

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Solution

The third proportional to 407,901 and 874,850 is: 1,876,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,901 : 874,850 = 874,850 : x
  2. Step 2: Convert to fraction form
    407,901/874,850 = 874,850/x
  3. Step 3: Cross multiply
    407,901x = 874,850 × 874,850
  4. Step 4: Simplify right side
    407,901x = 765,362,522,500
  5. Step 5: Solve for x
    x = 765,362,522,500/407,901
  6. Step 6: Final answer
    x = 1,876,343.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.